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Consider the parametric equations x= cos t, y = sin t, 0sts 2n. a. What curve do the points of these equations live on? b. What is the slope of the tangent line to this curve when t= T1/4? c. When is the slope of the tangent line zero?

Consider the parametric equations x= cos t, y = sin t, 0sts 2n. a. What curve do the points of these equations live on? b. What is the slope of the tangent line to this curve when t= T1/4? c. When is the slope of the tangent line zero?

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Consider the parametric equations x = cos t, y = sin t, 0sis 2n. a. What curve do the points of these equations live on? b. What is the slope of the tangent line to this curve when t= 1/4? c. When is the slope of the tangent line zero?
Transcribed Image Text:Consider the parametric equations x = cos t, y = sin t, 0sis 2n. a. What curve do the points of these equations live on? b. What is the slope of the tangent line to this curve when t= 1/4? c. When is the slope of the tangent line zero?
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